God is invested in our lives and happiness, because He chooses to be a Father to us.  His concern with human sin is with the pain and suffering it produces.  Sympathy and sorrow, not anger and vengeance, are th emotions we must look to in order to plumb the nature of the divine response to sin. 

...Sin is pain, and the intensity of His response to sin is commensurate with the intensity of that pain He knows sin will entail, and in which He has already chosen to share.  For He is the God who weeps.

Terryl & Fiona Givens, The God Who Weeps, pg. 79